Answer:
x = 48
- -----
p
Step-by-step explanation:
px. - 48
---- = ---------
x. p
x = - 48
-------
p
Then...
48
- -------
p
what is the solution to 7.5d=2.5d
Answer:
d = 0
Step-by-step explanation:
To find the solution to the given equation, we must solve for d in the equation.
7.5d = 2.5d
Subtract 2.5d from both sides.
5d = 0
Divide both sides by 5.
d = 0
So the solution to the equation would be d = 0.
I hope this helps. Happy studying.
The width of a classroom is 4 meters less than the length, and the area is 192 m^2. If the length is x m, find an equation in x and hence, find the dimensions of the classroom.
Answer:
length-x
width-x-4
area-- length* width
192=X*(X-4)
x^2-4x-192=0
x^2-16x+12x-192=0
X(x-16)+12(x-16)=0
(x-16),(X+12)
X= 16 because X cannot be negative like (-12)
the dimensions of the classroom will be
length = 16
width = 12
I hope this will help everyone
A company’s cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ = 9.70 ounces and standard deviation σ = 0.03 ounce. Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal in these boxes is less than 9.65 ounces?
What is the probability that the mean amount of cereal ¯
in 5 randomly selected boxes is at most 9.65?
The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.
What is the probability?The Central limit theorem is used to find the probability
Data given:
sample size = 5.
mean, μ = 9.70 ounces
standard deviation, σ = 0.03 ounce.
To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.
z = (x - μ) / (σ / √n)wherex is the sample mean,
μ is the population mean,
σ is the population standard deviation, and
n is the sample size.
For the sample mean of 9.65 ounces in 5 boxes:
z = (9.65 - 9.70) / (0.03 / √5)
z ≈ -0.05 / (0.03 / √5)
Using a calculator, we find that the probability is approximately 0.4801.
Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.
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BRAINLIEST TO FIRST PERSON WHO IS CORRECT
Answer:
11 1/4
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
please helppppp willlll give brainliest
Answer:
Step-by-step explanation:
try (3,-1)
Answer:
Step-by-step explanation:
A rhombus has all equal sides and two parallel sides.
Notice how Point C is 2 units to left and 1 unit below Point D>
Thus, our missing point, A, should be 2 units to left of B and 1 unit below it.
We therefore get (1,3)
So the point is (1,3)
use the fundamental theorem to evaluate the definite integral exactly. 16 1 3/pi of x dx enter the exact answer. g
The exact answer to the definite integral ∫16^1^3/π of x dx using the fundamental theorem is 8/π^2.
The fundamental theorem of calculus states that if f(x) is a continuous function on the interval [a, b] and F(x) is an antiderivative of f(x), then:
∫a^bf(x)dx = F(b) - F(a)
To use the fundamental theorem to evaluate the definite integral ∫16^1^3/π of x dx, we need to find an antiderivative of x. The antiderivative of x is x^2/2 + C, where C is an arbitrary constant.
Therefore, the definite integral ∫16^1^3/π of x dx can be written as:
∫16^1^3/π x dx = (x^2/2 + C) |16^1^3/π
Evaluating this expression gives us:
(3/π)^2/2 + C - (1/π)^2/2 + C = (9/π^2 - 1/π^2)/2 + 2C
Since C is an arbitrary constant, it cancels out when we take the difference between the upper and lower limits of integration. Therefore, the definite integral ∫16^1^3/π of x dx is equal to:
(9/π^2 - 1/π^2)/2 = 8/π^2
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1. An acrobat is on a platform that is 25 feet in the air. She jumps down at an initial vertical velocity of 4 ft/s. Write a quadratic function to
represent the height h of the acrobat t seconds after the jump. If a safety net is placed 5 feet above the ground, how long will it take for her to land safely on the net?
Since we are only interested in the positive solution, the time it will take for her to land safely on the net is:
t = 1 second.
To write a quadratic function to represent the height h of the acrobat t seconds after the jump, we can use the following formula:
\(h(t) = -16t^2 + vt + h0\)
Where h0 is the initial height of the acrobat, which is 25 feet, and v is the initial vertical velocity, which is 4 ft/s. Plugging in these values, we get:
\(h(t) = -16t^2 + 4t + 25\)
To find how long it will take for her to land safely on the net, we need to find the time at which h(t) = 5. In other words, we need to solve the equation:
\(-16t^2 + 4t + 25 = 5\)
Simplifying this equation, we get:
\(-16t^2 + 4t + 20 = 0\)
Dividing both sides by -4, we get:
\(4t^2 - t - 5 = 0\)
Now we can use the quadratic formula to solve for t:
\(t = (-b ± \sqrt(b^2 - 4ac)) / 2a\)
Where a = 4, b = -1, and c = -5. Plugging in these values, we get:
\(t = (1 ± \sqrt(1 + 4(4)(5))) / 8\)
Simplifying this equation, we get:
\(t = (1 ± 9) / 8\)
So, the two solutions are:
\(t = 1 and t = -5/4\)
Since we are only interested in the positive solution, the time it will take for her to land safely on the net is:
t = 1 second.
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Determine the amount of money you need to invest to accumulate $7,000 dollars in 4 years if you invest it at 2.5% annual interest, compounded quarterly.
An initial investment of $5,951.71 is needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly.
To determine the amount of money needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly, we need to use the formula for compound interest.
The formula is A = P(1+r/n)^(nt), where A is the final amount, P is the initial investment, r is the interest rate, n is the number of times compounded per year, and t is the number of years.
Using the given information, we can plug in the values and solve for P. A = $7,000, r = 0.025, n = 4, and t = 4.
A = P(1+r/n)^(nt)
A = P(1+0.025)^4
$7,000 = P(1+0.025/4)^(4*4)
$7,000 = P(1.00625)^16
P = $5,951.71
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what is the sloution to this question x- 16=-8
Answer:
x = 8Step-by-step explanation:
what is the sloution to this question x- 16=-8
x - 16 = -8
x = -8 + 16
x = 8
----------------
check
8 - 16 = -8
-8 = -8
the answer is good
The result of this equation is x = 8
-
To solve this equation - we will:
Isolate the variable and move the negative to the other side of the equality with inverse sign:\( \\ \large \sf x- 16=-8\)
\( \large \sf x=-8 + 16\)
\( \green{ \boxed{ \large \sf x=8}}\)
So, the answer of this equation is x = 8
Point C has the same y-coordinate as point B and the distance between point B and point C is equal to
the distance between point C and the y-axis. Point A has the same x-coordinate as point C and the
distance between point A and point C is twice the distance between point B and point C.
What is one possible location of point A?
How many possible locations are there for point A?
12
A?
We can conclude that point A is located at the origin (0, 0).
There is only one possible location for point A is at the origin.
Let's revisit the given information to determine the possible location of point A.
Point C has the same y-coordinate as point B.
This means that the y-coordinate of point C is equal to the y-coordinate of point B.
The distance between point B and point C is equal to the distance between point C and the y-axis.
Let's assume the distance between point B and point C is represented by "d".
According to the information given, the distance between point C and the y-axis is also "d".
Point A has the same x-coordinate as point C.
This implies that the x-coordinate of point A is equal to the x-coordinate of point C.
The distance between point A and point C is twice the distance between point B and point C.
Let's assume the distance between point B and point C is represented by "d".
According to the information given, the distance between point A and point C is 2d.
Based on this information, we can analyze the relationships between the points:
Since the distance between point B and point C is equal to the distance between point C and the y-axis, we can infer that point B lies on the y-axis.
The x-coordinate of point B is 0.
As point C has the same y-coordinate as point B, the y-coordinate of point C is also determined to be the same as the y-coordinate of point B.
Since point A has the same x-coordinate as point C, the x-coordinate of point A will also be 0.
The distance between point A and point C is twice the distance between point B and point C.
As the distance between point B and point C is "d", the distance between point A and point C is 2d.
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Round 782,317.772 to the nearest whole number.
Nearest whole number will be 782318.
Nearest ones whole number is the first digit before the decimal point of a number.
For example nearest ones of 9.6 is equal to 10.
If the tenth digit (first number before decimal point) of the number is greater than or equal to 5 we round up and add 1 to ones of number, If the tenth digit of the number is less than 5 we remove the decimal part. Example:
124.6
The first number of right of decimal point is 6
6 is greater than 5, so we add 1.
Result = 125
Now given number is 782317.772
since the first digit after decimal is 7 which is greater than 5 thus the nearest whole number will be 782318.
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Find the 23rd term of the arithmetic sequence with the terms a1 27 and d = 16.
Answer:
379
Step-by-step explanation:
a23 = 27 + (23-1)(16)
= 27 + (22)(16)
= 27 + 352
= 379
can someone help please!
Answer:(6, 5)
Give me brainliest
What is the value of the expression below? 7/10÷3/8
A.21/80
B.1 13/15
C.3 17/21
D.15/28
A birthday celebration meal is $ 46.80
including tax, but not the tip. Find the total cost if a 10 %
tip is added to the cost of the meal. correctly identify this tissue type and label features of the tissue
ILL GIVE BRAINLIEST IF ITS RIGHT
Answer:
That would be 3x=50-10y
Step-by-step explanation:
If 10y and 3x add up to 50 then the expression above is checking to see if 3x is the correct answer to 50. Therefore 3x= 50- 10y. Thank you for submitting this question.
I need help please !!
Answer:A,D
Step-by-step explanation:
y = [5.3, 27]
x= [-1,3]
PLEASEEEEEEEEEEEEE HELPPPP
The total area of the regions between the curves is 4.5 square units
The graph is attached
Calculating the total area of the regions between the curvesFrom the question, we have the following parameters that can be used in our computation:
y = x² - 6x + 9 and y = x - 1
With the use of graphs, the curves intersect at
x = 2 and x = 5
So, the area of the regions between the curves is
Area = ∫x² - 6x + 9 - x + 1
This gives
Area = ∫x² - 7x + 10
Integrate
Area = x³/3 - 7x²/2 + 10x
Recall that x = 2 and x = 5
So, we have
Area = [2³/3 - 7(2)²/2 + 10(2)] - [5³/3 - 7(5)²/2 + 10(5)]
Evaluate
Area = 4.5
Hence, the total area of the regions between the curves is 4.5 square units
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Need help ASAP pls !!!!!
Answer:
growth and .09% increase I believe
Step-by-step explanation:
Find the distance between the points.
(-2.5,3), (5,3)
The distance is
Answer:
7.5 units
Step-by-step explanation:
5-(-2.5)=7.5
This one please help out
Answer:
15. there are 11 cubes
16. there are 18 cubes
17. there are 6 cubes
18. the pencil case
19. the stapler
20. The Pencil Case is heavier than the wallet
21. The stapler is lighter than the wallet
Step-by-step explanation:
Okay so looking at the unit cubes you must count how much there are and see how much unit cubes the weight is equivalent to
15. there are 11 cubes
16. there are 18 cubes
17. there are 6 cubes
18. the pencil case
19. the stapler
20. The Pencil Case is heavier than the wallet
21. The stapler is lighter than the wallet
your work is correct!! Good job!!
Hope this helps!!
-Ketifa
I need help on this problem
Answer:
if you solve it for the t your answer would be: pt+30pte−0.2t=600
but if you solved it for the p your answer would be: p=600t(1+30e−0.2t)
hope it works, sweete
PLEASE HELP!! DUE TONIGHT!!!
Answer:
Step-by-step explanation:
Even ( I think)
positivie ( I think )
x intercept - (0,0)(-2,0)(-4,0)
y intercept - (0,0)
A rectangle is 6x-4 feet long and 2x + 3 feet wide. What is the perimeter of the rectangle?
Answer:
Perimeter o the rectangle = 16x - 2
Step-by-step explanation:
Perimeter of a rectangle = 2(long+ wide)
Then:
Perimeter = 2((6x-4)+(2x+3))
Perimeter = 2(6x+ 2x + 3 - 4)
Perimeter = 2(8x - 1)
Perimeter = 2*8x + 2*-1
Perimeter = 16x - 2
Sweet Cravings Bakery was interested in seeing if there was an association between cake flavor and frosting flavor. Given are the results of the survey in a relative frequency table.
Vanilla Chocolate Total
Vanilla Buttercream 0.12
Cream Cheese Icing 0.15 0.34
Cookie Butter Buttercream 0.10
Total 0.40 1.00
Which category has the lowest joint relative frequency?
Chocolate cupcakes with cookie butter buttercream
Vanilla cupcakes with cookie butter buttercream
Cupcakes with cookie butter buttercream
Cupcakes that are vanilla
From the table, Vanilla cupcakes with cookie butter buttercream have the lowest joint relative frequency. Option B is correct.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
From the table, for any segment
Total = vanilla + chocolate
Consider cream cheese Icing,
Total = vanilla + chocolate
0.34 = vanilla + 0.15
vanilla = 0.34 - 15
vanilla = 0.19
Now,
Cookie butter buttercream
vanilla = total vanilla - vanilla of (Vanilla buttercream + Cookie)
vanilla = 0.40 - 0.12 - 0.19
vanilla = 0.09
Similarly, following the procedure to complete the table, the complete table has been shown in the last.
Thus, from the table, Vanilla cupcakes with cookie butter buttercream have the lowest joint relative frequency.
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please help mr with this
What is the meaning of "\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\)"?
The meaning of \(\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\) is that the set of natural numbers is the intersection of all inductive sets.
What does the set show ?The set of natural numbers is inductive because it satisfies both of these conditions. The set is non-empty because it contains the number 1. And if x is a natural number, then x+1 is also a natural number.
In other words, a set is inductive if it satisfies the following two conditions:
The set is non-empty.If x is an element of the set, then x+1 is also an element of the set.The concept of an inductive set is important in mathematics because it allows us to define the set of natural numbers.
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What is the slope of the line that passes through the points ( 9 , 5 ) (9,5) and ( 21 , − 5 ) (21,−5)? Write your answer in simplest form.
Answer:
-5/6
Step-by-step explanation:
(9, 5) and (21, -5)
slope = m = (difference in y)/(difference in x)
m = (-5 - 5)/(21 - 9)
m = -10/12
m = -5/6
Answer: -5/6
The slope of the line that passes through points (9,5) and (21,-5) is -5/6.
We can use the two-point formula to find the slope for the given line. The formula is as follows:
(y2 - y1) = m*(x2 - x1)
Where (x1, y1, x2, and y2) represent the points on the line, and m is the slope of the line.
In the given case:
x1=9, x2=21
y1=5, y2=-5
Using these values in the two-point formula, we get:
(-5-5)=m*(21-9)
-10=m*12
m=-10/12
m=-5/6
Hence the slope of the line is -5/6.
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Based on the information in the table, how much will Monique earn if she works 36 hours in a week?
Answer:
Where is the table?
Step-by-step explanation:
Suppose it snowed 5 inches in 2 days. Then 5/2 describes the average daily snowfall. Write the improper fraction as a mixed number and expain please
Answer:
5/2 = 2 1/2
Step-by-step explanation:
There are 2 parts in one half, meaning 2 halves equals 1.
If you have 5 halves, you of course would get an improper fraction.
To find the answer, dive the numerator by the denominator. 5 ÷ 2 gives you 2.5, or 2 1/2.
Think about it this way: How many times does will 2 go in to 5 evenly? Twice. 2 times 2 is 4, leaving you with one left over. Whatever the remainder is, is the numerator for the improper fraction, and the denominator stays the same.